Free Delivery Over $100
|
|
|||
|
||||
OverviewThis book addresses the need for an accessible comprehensive exposition of the theory of uniform measures; the need that became more critical when recently uniform measures reemerged in new results in abstract harmonic analysis. Until now, results about uniform measures have been scattered through many papers written by a number of authors, some unpublished, written using a variety of definitions and notations. Uniform measures are certain functionals on the space of bounded uniformly continuous functions on a uniform space. They are a common generalization of several classes of measures and measure-like functionals studied in abstract and topological measure theory, probability theory, and abstract harmonic analysis. They offer a natural framework for results about topologies on spaces of measures and about the continuity of convolution of measures on topological groups and semitopological semigroups. The book is a reference for the theory of uniform measures. It includes a self-contained development of the theory with complete proofs, starting with the necessary parts of the theory of uniform spaces. It presents diverse results from many sources organized in a logical whole, and includes several new results. The book is also suitable for graduate or advanced undergraduate courses on selected topics in topology and functional analysis. The text contains a number of exercises with solution hints, and four problems with suggestions for further research. Full Product DetailsAuthor: Jan PachlPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2013 ed. Volume: 30 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 4.557kg ISBN: 9781461450573ISBN 10: 1461450578 Pages: 210 Publication Date: 16 October 2012 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPrerequisites.- 1. Uniformities and Topologies.- 2. Induced Uniform Structures.- 3. Uniform Structures on Semigroups.- 4. Some Notable Classes of Uniform Spaces.- 5. Measures on Complete Metric Spaces.- 6. Uniform Measures.- 7. Uniform Measures as Measures.- 8. Instances of Uniform Measures.- 9. Direct Product and Convolution.- 10. Free Uniform Measures.- 11. Approximation of Probability Distributions.- 12. Measurable Functionals.- Hints to Excercises.- References.- Notation Index.- Author Index.- Subject Index.ReviewsFrom the reviews: The material of this book is arranged into one preliminary section for auxiliary prerequisites plus three parts. ... Each of these parts is divided into chapters, every one of which ends with several complementary and historical notes that clearly help one to gain a better understanding of the material being covered. ... this is a book which every researcher interested in measure theory and its applications must consider for library acquisition and personal use. (Jesus Ferrer, Mathematical Reviews, August, 2013) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
